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Finding the Fourth Proportional to 378,046.20, 567,069.30 and 141,339.90

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Solution

The fourth proportional to 378,046.20, 567,069.30 and 141,339.90 is: 212,009.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,046.20 : 567,069.30 = 141,339.90 : x
  2. Step 2: Convert to fraction form
    378,046.20/567,069.30 = 141,339.90/x
  3. Step 3: Cross multiply
    378,046.20x = 567,069.30 × 141,339.90
  4. Step 4: Simplify right side
    378,046.20x = 80,149,518,155.07
  5. Step 5: Solve for x
    x = 80,149,518,155.07/378,046.20
  6. Step 6: Final answer
    x = 212,009.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.